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Volume 29, Issue 1
A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media

Peiyao Liu, Peng Wang, Long Jv & Zhaoli Guo

DOI: 10.4208/cicp.OA-2019-0200

Commun. Comput. Phys., 29 (2021), pp. 265-291.

Published online: 2020-11

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  • Abstract

In this paper, the discrete unified gas-kinetic scheme (DUGKS) is extended to the convection heat transfer in porous media at representative elementary volume (REV) scale, where the changes of velocity and temperature fields are described by two kinetic equations. The effects from the porous medium are incorporated into the method by including the porosity into the equilibrium distribution function, and adding a resistance force in the kinetic equation for the velocity field. The proposed method is systematically validated by several canonical cases, including the mixed convection in porous channel, the natural convection in porous cavity, and the natural convection in a cavity partially filled with porous media. The numerical results are in good agreement with the benchmark solutions and the available experimental data. It is also shown that the coupled DUGKS yields a second-order accuracy in both temporal and spatial spaces.

  • Keywords

Coupled discrete unified gas-kinetic scheme, generalized Navier-Stokes equations, porous media, convection heat transfer.

  • AMS Subject Headings

82B40, 76S05, 76E06

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-29-265, author = {Liu , PeiyaoWang , PengJv , Long and Guo , Zhaoli}, title = {A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media}, journal = {Communications in Computational Physics}, year = {2020}, volume = {29}, number = {1}, pages = {265--291}, abstract = {

In this paper, the discrete unified gas-kinetic scheme (DUGKS) is extended to the convection heat transfer in porous media at representative elementary volume (REV) scale, where the changes of velocity and temperature fields are described by two kinetic equations. The effects from the porous medium are incorporated into the method by including the porosity into the equilibrium distribution function, and adding a resistance force in the kinetic equation for the velocity field. The proposed method is systematically validated by several canonical cases, including the mixed convection in porous channel, the natural convection in porous cavity, and the natural convection in a cavity partially filled with porous media. The numerical results are in good agreement with the benchmark solutions and the available experimental data. It is also shown that the coupled DUGKS yields a second-order accuracy in both temporal and spatial spaces.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0200}, url = {http://global-sci.org/intro/article_detail/cicp/18430.html} }
TY - JOUR T1 - A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media AU - Liu , Peiyao AU - Wang , Peng AU - Jv , Long AU - Guo , Zhaoli JO - Communications in Computational Physics VL - 1 SP - 265 EP - 291 PY - 2020 DA - 2020/11 SN - 29 DO - http://doi.org/10.4208/cicp.OA-2019-0200 UR - https://global-sci.org/intro/article_detail/cicp/18430.html KW - Coupled discrete unified gas-kinetic scheme, generalized Navier-Stokes equations, porous media, convection heat transfer. AB -

In this paper, the discrete unified gas-kinetic scheme (DUGKS) is extended to the convection heat transfer in porous media at representative elementary volume (REV) scale, where the changes of velocity and temperature fields are described by two kinetic equations. The effects from the porous medium are incorporated into the method by including the porosity into the equilibrium distribution function, and adding a resistance force in the kinetic equation for the velocity field. The proposed method is systematically validated by several canonical cases, including the mixed convection in porous channel, the natural convection in porous cavity, and the natural convection in a cavity partially filled with porous media. The numerical results are in good agreement with the benchmark solutions and the available experimental data. It is also shown that the coupled DUGKS yields a second-order accuracy in both temporal and spatial spaces.

Liu , PeiyaoWang , PengJv , Long and Guo , Zhaoli. (2020). A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media. Communications in Computational Physics. 29 (1). 265-291. doi:10.4208/cicp.OA-2019-0200
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